Human Capital and Regional Development Nicola Gennaioli Rafael La Porta Florencio Lopez-de-Silanes Andrei Shleifer May 2011 Motivation (1) Competing views on the ultimate determinants of economic development: 1. 2. 3. 4. 5. Geography – Bloom and Sachs (1998); Institutions – King & Levine (1993), De Long & Shleifer (1993), Acemoglu et al. (2001); Human Capital – Lucas (1988), Barro (1991), Mankiw, Romer & Weil (1992); Ethnic heterogeneity -- Easterly & Levine (1997), Alesina et al. (2003); and Culture – Knack & Keefer (1997). These variables are correlated with each other and, in particular, with human capital. Difficult to disentangle the ultimate determinants of economic development. Instrumental variable techniques are not helpful. We collect regional (i.e. sub-national) data to shed light on these debates. We run GDP level regressions (Hall & Jones, 1999) but also regressions using establishment-level data in these regions. 2 Motivation (2) To organize the discussion, we present a new model of regional development. The human capital of workers enters as an input into the neoclassical production function, but the entrepreneur’s human capital independently influences firm-wide productivity (Lucas 1978); Human capital may have externalities (Lucas 1988, 2008); and Workers and entrepreneurs may move across regions (e.g., Glaeser and Gottlieb 2009). We find: Strong evidence that geography matters. No evidence that institutions, ethnic, culture matter but these may be data problems. Overwhelming evidence that human capital fosters development through entrepreneurial education and externalities. 3 Outline Model Empirical Predictions Data Results Conclusion 4 The Lucas-Lucas Model (1) Each country consists of a measure 1 of regions. Regions are denoted by i. p: share of “productive regions” (productivity AG). 1–p: share of “unproductive” regions (productivity AB < AG). A measure 2 of agents is uniformly distributed across regions. Agents are denoted by j. They enjoy consumption (c) and housing (a) according to the utility function: [1] 1 j j u ( c, a ) c a Half the agents are “rentiers,” the remaining half are “labourers’’. Each rentier owns 1 unit of housing, T units of land and K units of physical capital. Rentiers have no human capital and do not consume housing (θj=0). Each labourer has h units of human capital. h has a Pareto distribution with support [h,+∞) and mean E(h) = μh/(μ–1). 5 The Lucas-Lucas Model (2) A labourer can become either an entrepreneur or a worker. By operating in region i, an entrepreneur with human capital h who hires physical capital Ki,h , land Ti,h , and workers with total human capital Hi,h produces an amount of the consumption good equal to: [2] yi,h Ai h1 Hi,h Ki,hTi,h where α+β+δ<1 and output increases at a diminishing rate with h (Lucas 1978). Entrepreneurs earn profits πi(h). Workers earn wage income wi·h as a worker, where wi is the wage rate Rentiers rent land and physical capital to firms, and housing to labour. In region i, a representative rentier earns λiT and ηi by renting land and housing. A rentier renting physical capital in region i earns ρiK. Physical capital is fully mobile across regions; land and housing endowments are fixed; Labourers are partially mobile: lose φwi units of income by moving to region i (φ <h). The Lucas-Lucas Model (3) There are two time periods (0 and 1). Time 0. 1. Each labourer selects the location and occupation that maximize her income. 2. The housing market clears. Time 1. 1. Entrepreneurs hire land, human, and physical capital. 2. Production is carried out and distributed (i.e. wi, πi, λi, ηi, and ρi are paid). 3. Consumption takes place. 7 Equilibrium (1) There is a unique rental rate ρ (physical capital is fully mobile) . Rental rates λi and ηi vary across regions depending on productivity and population. The sorting of labourers into workers and entrepreneurs is determined by wi and πi(hj). An entrepreneur with human capital h operating in region i solves: [3] H i ,h ,Ti ,h , K i ,h Firm j employs a share of entrepreneurial capital hj/HiE and thus hires the others factors according to: [4] max Ai h1 H i,h K i,hTi ,h wi H i ,h K i ,h iTi ,h Hi, j hj H iE H iW , Ki , j hj H iE Ki , Ti , j hj H iE T. Which implies that aggregate regional output is given by [5] H K T Yi Ai H iE 1 W i i 8 Equilibrium (2) Based on the equation for aggregate regional output, wages, profits, and capital rental rates are given by: [6] K / H T / H , wi Yi Ai H iE / H iW W H i i Yi (1 ) Ai H iW / H iE E H i Yi Ai H iE / K i K i 1 1 W i i H W i W i K / H T / H , / Ki i E i E i T / K . i In equilibrium, πi = wi so that labourers are indifferent between occupations: [7 ] 1 H iE H i , H iW Hi 1 1 where Hi=HiE+HiW is total human capital in region i. 9 Lucas-only spatial equilibrium (1) We consider a symmetric spatial equilibrium: All productive regions share the same factor allocation (HG,KG), the same wage wG and rental rates λG and ηG, and All unproductive regions share the same factor allocation (HB,KB), wage rate wB, and rental rates λB and ηB. The housing rental rate is equal to the share θ of labour income in the region. As a consequence, the utility of a labourer from staying in his birth region i is equal to: wi1 h i H i Utility rises with wi and falls with regional human capital Hi due to higher rental rates. Formally, a labourer with human capital h migrates if: [11] uw,i (c, a) wi h wG1 ( h ) / H G w1B h / H B where φ captures migration costs. This identifies a human capital threshold hm such 10 that agent j migrates if and only if hj ≥ hm. Lucas-only spatial equilibrium (2) To simplify national aggregation, we study the case where mobility costs are negligible. In this case: 1. National output is given by: [19] ^ H K T Y A HE 1 W where A is a function A( , , , AG , AB , p) of exogenous parameters. 2. Regional output is described by [5]: [5] 3. H K T Yi Ai H iE 1 W i i Firm-level output is given by [2]. [2] yi,h Ai h1 Hi,h Ki,hTi,h 11 Lucas-Lucas spatial equilibrium (1) We assume externalities such that regional total factor productivity equals to: [20] ~ Ai Ai Ei (h) Li , 0, 1 Ei(h) is the average level of human capital in region i. Li is the measure of labourers in that region. ψ captures the importance of the quality of human capital. ψ = 1 only the total quantity of human capital Hi = Ei(h)Li matters for externalities; ↑ψ: the quality of human capital becomes relatively more important than quantity. γ captures the overall importance of externalities. Under perfect mobility, productive regions employ human capital in proportion to their 1 relative productivity: HG AG (1 ) (1 ) ~* [17] H G 1 E ( h) (1 ) (1 ) EA 12 ~ ~* With mobility costs, H G settles between 1 (no mobility) and H G (perfect mobility). Lucas-Lucas spatial equilibrium (2) The sorting of human capital across regions depends on the difference β – γ between the diseconomies of scale due to the presence of a fixed factor and the positive human capital spillovers. The smaller is β– γ, the stronger are the spillovers and the greater is the migration of human (and physical) capital into the more productive regions. A stable equilibrium requires that: [22] (β – γ)(1 – θ) + θ(1 – δ) > 0 the share θ of income spent by labourers on housing must be sufficiently large if γ > β. Intuition: Migration increases productivity by creating spillovers but also increases the housing and land rental rates so that after some point migration stops. 13 Lucas-Lucas spatial equilibrium (3) In a stable equilibrium: National output is equal to: [23] ^ H K T Y AH H E 1 W where A is a function A( , , , AG , AB , p) of exogenous parameters. Firm level output is given by: [24] yi , j Ai Ei (h) Li h1j Hi, j Ki, jTi,j Regional output becomes: [25] Yi Ai Ei (h) Li ( H iE )1 ( H iW ) Ki T 14 Empirical Predictions 15 Measurement of Human Capital To implement the model, we need to measure human capital based on schooling (“S”). We follow the Mincerian approach in which for an individual j the link between human capital and schooling is: [ 26] h j exp j S j where Sj ≥ 0 and μj ≥ 0 are two random variables. 16 Regional Income Differences Regional output is given by: [28] ln(Yi/Li) = C + (1/(1 – δ))lnAi + (1+ γψ – β/(1 – δ))lnEi(h) + (γ – β/(1 – δ))lnLi where C is a constant absorbed by the country fixed effect. Using the Mincerian specification for human capital, regional output is: 1 lnAi (1 ) i Si ( – )lnLi 1- 1- 1- Coefficient on average regional schooling S i product of the technological parameter (1+ γψ – β/(1 – δ)) and the nation-wide average Mincerian return . Fixed land supply progressively reduces the productivity of human capital. [29] ln(Yi /Li ) C Population Li on the right hand side captures the productive return to increasing regional population (or workforce), which is equal to (γ – β/(1 – δ)). 17 When population rises, productivity rises because the total quantity of human capital rises but it falls due to fixed land supply. Firm-level productivity (1) Equation [24] implies that firm-level output per worker yi,j/li,j can be expressed as: [30] ln(yi, j/li, j ) lnAi (1 – - - )ln[ Ei,j(h E )(li,jE / li,j )] α ln[(hW )(li,jW /li,j )] δ ln ki,j β ln ti,j γ ln Li γ ln Ei (h) where xi,j = Xi,j/li,j denote per-worker values. Defining E ,i and W ,i as the average Mincerian return of entrepreneurs and workers in region i, the empirical counterpart of Equation [30] then becomes: [32] ln(yi, j/li, j ) lnAi (1 – - - ) E ,iSE,ij W ,iSW,ij (1 – - - )ln(lijE /lij ) ln(lWij /lij ) lnkij ln tij lnLi i Si Key property of our analysis: Separate the remuneration α of “low human capital” labour, and the remuneration (1–α–β–δ) of “high human capital”. Sorting implies that more talented people become entrepreneurs and less talented people become workers. Thus, 18 E ,i W ,i Firm-level productivity (2) Coefficient on SE,ij entrepreneurs’ rents (1–α–β–δ) times the average nation-wide Mincerian return of entrepreneurs. Coefficient on SW,ij labour share α times the average nation-wide Mincerian return of workers. Coefficient on regional schooling externality parameter γψ times the population-wide average Mincerian return. 19 Data 20 The Variables We found regional (i.e. sub-national) data on either income or education for 110 countries. For those 110 countries, in addition to income and education, we collected data on: 1. Geography and endowments. 1. Temperature, 2. Inverse distance to coast, and 3. Oil. 2. Institutions 1. 2. 3. 4. 5. 6. 7. 8. Informal payments, Days to pay taxes, Days without electricity, Security costs, Access to land, Access to finance, Government predictability, and Doing Business rank 3. Infrastructure 1. Power line density, and 2. Time to travel to the closest city of 50,000 inhabitants. 4. Culture 1. 2. 3. 4. Trust, Civic values, Number of ethnic groups, and Probability of same language. 5. Population 21 Regions Countries have administrative divisions. In turn, administrative divisions may have different levels (e.g., country states or provinces counties or municipalities). For each variable, we collect data at the highest administrative division available or, when such data does not exist, at the statistical division (e.g. Eurostat NUTS) that is closest to it. We aggregate data for each country to a region from the most disaggregated level of reporting available. Ex: Brazil has GDP and education data for 27 first-level administrative regions and Enterprise Survey data for 432 municipalities. We aggregate the Enterprise Survey data by averaging all municipalities within the same first-level administrative division. The final dataset has 1,569 regions. 79 countries at the first-level administrative division; 31 countries at a more aggregated level than the first-level administrative division. Often because education is unavailable at the first-level administrative level. Ex: Ireland publishes GDP data for 8 regions but education data for 2 regions. 22 Coverage The countries in our sample account for 97% of the world’s GDP in 2005. Coverage is related to: 1. Surface area, presumably because very small countries do not report regional data. We only have data for 14% of the smallest 50 countries 2. Absolute level of GDP but not with GDP per capita. We have data for 18% the first 23 50 countries in terms of GDP in 2005, but 52% on the basis of GDP per capita. Descriptive Statistics Table 1 – Panel A Medians for: Number of Number of Regions per Regions Countries country Ln(GDP per capita) Years of Education Temperature Inverse Distance to Coast Ln(Oil) Informal Payments ln(Tax Days) Ln(Days without electricity) Security costs Access to land Access to finance Government Predictability Doing Business Percentile Rank Ln(Power line density) Ln(Travel time) Trust in others Civic Values Ln(Number of ethnic groups) Probability of same language 1,537 1,489 1,568 1,569 1,569 361 270 222 373 519 536 386 180 1,569 1,569 745 683 1,568 1,545 107 106 110 110 110 76 58 75 79 81 82 75 19 110 110 69 75 110 109 11 12 12 12 12 4 5 2 4 5 5 4 6 12 12 9 8 12 12 Mean Minimum Maximum 8.69 6.58 16.84 0.90 0.00 1.02 1.29 3.03 0.91 0.15 0.28 0.46 0.40 1.34 5.28 0.23 2.23 0.98 0.67 8.07 5.34 10.23 0.80 0.00 0.40 1.06 2.73 0.39 0.04 0.14 0.34 0.21 0.00 4.21 0.12 1.71 0.00 0.28 9.54 8.70 21.13 0.99 0.00 1.60 1.51 3.37 1.34 0.27 0.47 0.61 0.49 2.53 6.00 0.38 3.12 1.79 0.79 Within‐country Within‐country Coefficient of Variation Range std deviation for Variable in Levels 1.03 2.34 4.47 0.13 0.00 0.94 0.36 0.54 0.72 0.21 0.29 0.24 0.22 1.87 1.82 0.22 1.08 1.39 0.26 0.30 0.73 1.45 0.05 0.00 0.45 0.19 0.36 0.34 0.09 0.12 0.10 0.11 0.61 0.54 0.07 0.48 0.50 0.09 0.33 0.92 0.09 0.05 0.00 0.59 0.18 0.32 0.42 0.40 0.24 0.20 0.31 0.61 0.46 0.35 0.19 0.46 0.21 24 Standard deviation of Ln Regional GDP per capita) -.2 0 .2 .4 .6 Within-country standard deviation of GDP per capita and development -- Figure 4 THA KEN ZAR IDN ARG PAN MOZ RUS PER IRN NAM CHN BRA ARE COL KGZ IND GHA MNG NGA LVA MEX CHL SVK NER BEN UZB MKDTUR HNDBOL ALBECU MYS ZAF UGA UKR GTM SRB ROM LKA EGY KAZ HUN VNM ZMB LSO TZA LTU CZEBEL BLZ VEN EST IRL DOM PRY BIH LBN MDA DEU CAN CHE NIC MDG KHM HRV GABITA CMR USA LAO PHL SWZ URY SLV NOR GRC PRT AUT FIN BGRPOL KOR DNK NZL SVN MAR GEO GBR NPL ESP NLD JPN AUS SWE ARM MWI BFASEN JOR FRA ISR SYR PAK AZE ZWE -6 -4 -2 Ln GDP per capita 0 2 coef = -.02489678, (robust) se = .01172037, t = -2.12 25 1.5 Within-country standard deviation of years of education and development – Figure 5 PAN CMR NGA GHA ZAR ZWE -.5 Std Dev Years of Education 0 .5 1 KEN -6 -4 THA PER LBN NAM IDN IND PRY LAOHND COL BLZ GAB BEN NIC MDA GTM MYS MDG CHN SWZ ISR DOM MEX PHL EGY ECU ARG BRA KHM SRB SYR NER ZAF VNM BOL LSOSEN TZA BFA SVK MNG MKD CHL LVA ARE VEN HRV TUR JOR URY MAR ROM BGR UGA SLV NZL MOZ DNK DEU AUS GEO UKR ESP MWI ARM LTU HUNGRC JPN EST CZE LKA AZE RUS BEL PAK PRT FRA SVN KAZ IRL KGZ NOR BIH CAN GBR ITA AUT UZB NLD SWE USA NPL FIN POL CHE ZMB -2 Ln(GDP per capita) 0 2 coef = -.12647737, (robust) se = .02655853, t = -4.76 26 Descriptive Statistics Table 1– Panel B Medians for: Number of Number of Regions per Regions Countries country Ln(Establishments / Population) Ln(Employees / Establishments) Ln(Employees / Population) Ln(Employees Big Firms / Employees) Ln(Sales / Employee) Ln(Wages / Employee) Ln(Employees) Ln(Expenditure on energy / Employee) Ln(Property, plant and equipment / Employee) Years of Education of Workers Years of Education of Managers 984 1,068 1,056 540 550 516 550 326 205 507 195 65 69 69 31 82 77 82 66 41 74 38 12 12 12 13 5 5 5 4 4 5 4 Mean ‐4.89 2.07 ‐2.66 ‐1.45 10.21 8.28 3.25 6.10 8.72 9.97 14.90 Minimum Maximum ‐5.45 1.69 ‐3.38 ‐2.17 9.79 8.00 2.72 5.52 8.37 8.66 14.24 ‐4.06 2.39 ‐1.80 ‐0.78 10.59 8.66 3.71 6.36 9.37 10.80 15.36 Within‐ Within‐country Coefficient of Variation country Range std deviation for Variable in Levels 1.17 0.80 1.58 1.13 0.79 0.62 0.82 0.60 0.99 2.25 1.34 0.37 0.20 0.43 0.33 0.35 0.25 0.35 0.30 0.47 0.93 0.62 0.37 0.19 0.41 0.27 1.22 1.79 1.46 1.22 1.26 3.06 0.89 27 Results 28 Univariate Fixed Effect Regressions Table 3 Independent Variables: Years of Education Temperature Inverse Distance to Coast Ln(Oil) Informal Payments ln(Tax Days) Ln(Days without electricity) Security costs Access to land Access to finance Government Predictability Doing Business Percentile Rank Ln(Power line density) Ln(Travel time) Trust in others Ln(Number of ethnic groups) Probability of same language Observations Countries R2 Within R2 Between 1,470 1,536 1,537 1,537 350 263 219 362 507 524 380 176 1,537 1,537 739 1,536 1,518 104 107 107 107 74 56 73 77 79 80 73 18 107 107 68 107 106 38% 1% 4% 2% 0% 0% 2% 0% 0% 1% 1% 2% 5% 7% 0% 5% 1% 58% 27% 13% 4% 21% 20% 6% 7% 15% 8% 0% 13% 36% 15% 18% 17% 26% 29 National GDP Per Capita and Geography Table 4 – Panel A (1) (2) a (3) Temperature ‐0.0914 (0.0100) ‐0.0189 (0.0106) c ‐0.0190 (0.0106) Inverse Distance to Coast 4.4768 (0.5266) a 2.9647 (0.5736) a 2.9499 (0.5782) Ln(Oil) 1.2192 (0.1985) a 0.9503 (0.1371) a 0.9473 (0.1375) a 0.2574 (0.0311) Years of Education 0.2566 (0.0308) Ln(Population) 0.0684 (0.0408) a a a c Ln(Employment) 0.0576 (0.0398) a Constant c a a 6.3251 (0.4598) 3.5761 (0.9372) 3.7959 (0.8977) 107 104 103 50% 63% 63% 30 Observations 2 Adjusted R Regional GDP Per Capita and Geography Table 4 – Panel B (1) (2) (3) Temperature ‐0.0156 (0.0082) c ‐0.0140 (0.0084) c ‐0.0206 (0.0105) Inverse Distance to Coast 1.0318 (0.2078) a 0.4979 (0.1438) a 0.5096 (0.1745) Ln(Oil) 0.1651 (0.0477) a 0.1752 (0.0578) a 0.1941 (0.0440) a 0.2751 (0.0271) Years of Education 0.2755 (0.0171) Ln(Population) 0.0125 (0.0168) a a a a Ln(Employment) Constant c 0.0661 (0.0244) a a a 8.0947 (0.2282) 6.3886 (0.1944) 5.9154 (0.2516) 1,545 107 1,478 104 833 49 2 8% 42% 50% 2 47% 60% 70% 2 34% Yes 62% Yes 70% Yes Observations Number of countries R Within R Between R Overall Fixed Effects 31 National GDP per capita and Institutions (Table 5:A) (1) (2) (3) (4) (5) (6) Years of Education 0.2566a (0.0308) 0.2310a (0.0344) 0.1890a (0.0310) 0.2339a (0.0316) 0.2291a (0.0336) 0.2301a (0.0350) 0.2264a 0.2355a 0.1749b (0.0344) (0.0332) (0.0703) Ln(Population) 0.0684 (0.0408) c ‐0.0022 (0.0494) 0.0887 (0.0582) 0.0428 (0.0488) 0.0320 (0.0481) 0.0067 (0.0519) 0.0299 0.0611 ‐0.0782 (0.0473) (0.0457) (0.1074) Temperature ‐0.0189 (0.0106) c ‐0.0105 (0.0128) ‐0.0276 (0.0128) b ‐0.0083 (0.0119) ‐0.0094 (0.0114) ‐0.0066 (0.0112) ‐0.0082 ‐0.0129 ‐0.0147 (0.0110) (0.0117) (0.0306) Inverse Distance to Coast 2.9647 (0.5736) a 2.3086 (0.6321) a 2.1692 (0.7006) a 2.5170 (0.5698) a 2.2652 (0.5856) a 2.2826 (0.5406) a 2.1892 2.3979 0.2385 (0.5562) (0.5616) (2.1131) Ln(Oil) 0.9503 (0.1371) a 1.6367 (0.5966) a 0.5257 (0.5050) 1.1319 (0.3309) a 1.1739 (0.3219) a 1.1916 (0.3302) a 1.1165 1.2054 0.5201 (0.2950) (0.4982) (0.4921) Informal Payments (7) (8) (9) a a a b ‐0.0121 (0.0499) a ln(Tax Days) ‐0.5497 (0.1446) Ln(Days without electricity) ‐0.1375 (0.0847) Security costs ‐0.0332 (0.0250) Access to land ‐0.7493 (0.5783) Access to finance ‐0.5164 (0.4202) Government Predictability 0.3835 (0.4431) Doing Business Percentile Rank 0.6704 (1.6413) a Constant 3.5761 (0.9372) Observations a 5.1927 (1.1015) a 5.1619 (1.2918) a 4.6815 (0.9542) a 4.7382 (1.0046) a 5.1545 (0.9971) a a b 4.9498 3.9328 8.6509 (1.0246) (0.9724) (3.1636) 104 73 55 75 76 80 81 72 17 63% 73% 76% 69% 69% 70% 70% 71% 34% 2 63% 73% 69% 69% 69% 69% 69% 71% 39% 2 50% 53% 60% 49% 50% 52% 52% 50% 26% 2 Adjusted R Adj. R without institution Adj. R without education 32 National GDP per capita, Infrastructure and Culture (T 5:B) (1) (2) (3) (4) (5) (6) (7) Years of Education 0.2566 (0.0308) a 0.2379 (0.0338) a 0.2642 (0.0325) a 0.1935 (0.0498) a 0.1818 (0.0538) a 0.2534 (0.0347) a 0.2394 (0.0377) Ln(Population) 0.0684 (0.0408) c 0.0688 (0.0414) c 0.0653 (0.0407) 0.1238 (0.0788) 0.2169 (0.1017) b 0.0999 (0.0640) 0.0807 (0.0450) Temperature ‐0.0189 (0.0106) c ‐0.0145 (0.0109) ‐0.0191 (0.0108) c ‐0.0283 (0.0135) b ‐0.0434 (0.0148) a ‐0.0188 (0.0107) c ‐0.0163 (0.0108) Inverse Distance to Coast 2.9647 (0.5736) a 2.7218 (0.6025) a 3.0968 (0.6268) a 3.6522 (0.7902) a 4.3386 (1.0486) a 2.7758 (0.6473) a 2.7448 (0.5853) Ln(Oil) 0.9503 (0.1371) a 1.0157 (0.1438) a 0.8737 (0.1467) a 0.9902 (0.3207) a 0.9751 (0.2895) a 0.9538 (0.1443) a 0.8792 (0.1657) Ln(Power line density) a a 0.0825 (0.0934) Trust in others 1.2472 (0.8796) Civic values 0.4180 (0.3105) Ln(Number of ethnic groups) ‐0.0996 (0.1550) Probability of same language 0.4195 (0.3391) a 3.5761 (0.9372) Observations c 0.1480 (0.1099) Ln(Travel time) Constant a a 3.6383 (0.9251) b 3.0050 (1.2448) 2.3962 (2.0122) ‐0.1572 (3.2084) a 3.4625 (0.9289) a 3.3864 (0.9548) 104 104 104 67 57 104 103 63% 63% 63% 49% 47% 63% 62% 2 63% 63% 63% 48% 45% 63% 62% 2 50% 54% 50% 44% 42% 51% 52% 2 Adjusted R Adj. R without infrastructure or Adj. R without education 33 Regional GDP per capita and Institutions (Table 6:A) (1) (2) (3) (4) (5) (6) (7) (8) (9) Years of Education in the Region 0.2758 (0.0172) a 0.3056 (0.0298) a 0.3620 (0.0288) a 0.3439 (0.0481) a 0.3343 (0.0310) a 0.3267 (0.0218) a 0.3273 (0.0215) a 0.3166 (0.0207) a 0.4141 (0.0229) Ln(Population in the Region) 0.0126 (0.0168) ‐0.0185 (0.0495) ‐0.0175 (0.0536) ‐0.0442 (0.0613) ‐0.0191 (0.0432) ‐0.0087 (0.0316) ‐0.0098 (0.0312) ‐0.0113 (0.0305) ‐0.0026 (0.0229) Temperature ‐0.0140 (0.0084) c ‐0.0101 (0.0096) ‐0.0086 (0.0078) ‐0.0015 (0.0122) ‐0.0064 (0.0093) ‐0.0093 (0.0086) ‐0.0106 (0.0086) ‐0.0131 (0.0081) 0.0016 (0.0059) Inverse Distance to Coast 0.4971 (0.1441) a 0.4647 (0.3293) 0.8290 (0.4273) c 0.1810 (0.4312) 0.2703 (0.3041) 0.4054 (0.2636) 0.5133 (0.2822) c 0.4420 (0.2788) 0.0913 (0.3460) Ln(Oil) 0.1752 (0.0578) a ‐0.0578 (0.1283) 0.1555 (0.1319) ‐0.0584 (0.2503) ‐0.0473 (0.0862) ‐0.0224 (0.1081) ‐0.0040 (0.1113) ‐0.0170 (0.0735) 0.1834 (0.1160) Informal Payments ‐0.0089 (0.0353) ln(Tax Days) ‐0.0479 (0.0630) Ln(Days without electricity) 0.0001 (0.0764) Security costs ‐0.0004 (0.0060) Access to land ‐0.1900 (0.1457) Access to finance ‐0.0935 (0.1536) Government Predictability ‐0.1251 (0.1426) c Doing Business Percentile Rank ‐0.6199 (0.3437) a Constant a a a a a a a a a 6.3853 (0.1947) 6.5073 (0.7043) 5.7640 (0.8220) 6.8622 (0.7867) 6.4507 (0.5993) 6.3453 (0.4664) 6.2816 (0.4827) 6.4790 (0.4629) 6.3186 (0.4428) 1,469 104 338 73 255 55 216 72 352 76 387 77 381 76 368 72 172 17 2 42% 58% 66% 59% 60% 62% 62% 63% 69% 2 60% 64% 64% 53% 58% 60% 60% 63% 39% 2 62% 59% 60% 49% 53% 55% 55% 56% 51% 42% 57% 66% 59% 60% 62% 62% 62% 67% 9% 11% 14% 10% 9% 6% 5% 7% 9% 60% 64% 63% 53% 58% 60% 60% 63% 41% 42% 25% 20% 21% 26% 35% 39% 45% 50% Observations Number of countries R Within R Between R Overall 2 Within R without institution 2 Within R without education 2 Between R without institution 2 Between R without education 34 Partial Correlation of (Log) GDP per capita and Years of Education – Figure 6 2 RUS IDN IDN KEN MOZ RUS PER ECU ARG ZAR BRA UKR CHN PAN USA MNG LVA THA CHN IDN IND RUS LVA IND NAM MEX BEN RUS MNG CHN SVK ARG CHL ARE BOL RUS EST SRB KHM HND CHE LKA PAN GTM NOR CZE BEL MYS ROM IND RUS ARG GHA BRA MEX TZA CHN ARG MKD JPN PER THA RUS PER KEN NAM NER UZB LAO ARG LSO ARG HND VNM HUN NIC RUS MEX ZMB COL KGZ BRA RUS VEN ZAF DEU RUS COL HND CHE RUS LTU DOM LVA VEN NGA HRV KGZ IND URYCOL ZAR TUR RUS PRY POL CHN ZAR MEX SRB LVA SLV CAN FRA BRA PHL TUR DNK CHN KAZ GBR SVN UKR GRC MDG USA HRV MYS HND BRA CMR RUS ZWE PER PER RUS CAN ZAF MDA PER COL RUS UKR MYS MEX BRA MEX BRA RUS CHL MAR BLZ PER UKR RUS UGA EGY HRV RUS COLDEU RUS IND BEN PRY ZWE MEX BGR PRY ARE COL SWE LBN CHN ECU NZL NAM USA BRA AUT COL PER ZAR NZL CHE COL GHA SRB JOR BIH ARG GEO ECU UKR DNK MEX PRT MAR TUR ITA SRB RUS EST COL NER IND LBN NAM JPN VEN CMR ZMB ARM LVA CHN IND MEX SWZ CHL HRV IDN NAM USA TZA NER SLV RUS LSO CHE RUS RUS ESP MAR CHN NLD ITA AUT KGZ TUR NPL TZA IND TZA LVA ITA LVA ZWE IND MEX RUS GHA ESP KEN TZA RUS USA PHL BOL IND IDN BEL PRY MKD MEX LVA GRC DEU MOZ ESP NGA BFA LTU NLD VEN RUS MEX CHL TUR FIN IDN ITA URY VEN NIC NZL NIC ITA SRB GEO GHA AUS MNG DEU PRT GAB MNG NLD AZE LAO TZA PHL KAZ ARG ECU KHM NOR SEN IRL LSO TZA ZAF RUS AUS USA USA CHE VEN ESP KGZ BEN ARG FIN GHA JPN MKD NGA SEN ARG URY RUS BRA ITA DOM CMR JPN EST POL USA COL RUS CHL PRY SVN UKR URY DEU GRC POL JPN ARG KHM NIC IND ZWE SYR MWI NOR MYS HUN LTU LAO IDN LVA ITA VEN BRA CHN MYS MKD LVA JPN ITA VEN ZMB GBR ISR MNG NIC ARG CAN IDN NIC SYR SYR MNG IDN UZB JPN PHL VNM ECU BFA SLV POL URY RUS UGA BLZ JPN SVK UKR ECU BEL LAO MNG ROM UKR RUS COL ECU LAO SEN TZA MNG JOR JPN ESP LVA SRB JPN SEN EGY IND ISR HRV LAO PRY SRB USA VEN PHL AUS TUR FRA BRA BEN NAM VNM ARM RUS HUN URY GEO GAB ECU BFA RUS SYR HND RUS TZA NIC NZL DNK COL JPN USA SVN ARM ZAR USA CHN MEX ITA SLV COL POL ESP PAK BFA USA PHL JPN NLD MEX HND SYR HRV USA JOR NIC GTM MNG ARM MOZ BOL BEL URY UKR CHE PAK JOR JPN PRY LAO BFA ZAF PHL ITA AUT GRC KAZ CHN CMR CHL NAM EST DNK MDG COL RUS BFA NLD RUS USA TZA NOR IDN NOR COL ZAR PRY TZA DEU LTU LAO SVN FRA LVA DOM ISR IDN GEO URY DNK PRT BRA RUS JPN GTM JOR NER EST GAB DOM PRY USA MNG KHM FRA BFA SYR MNG JPN LTU PHL VEN LVA DOM USA COL CHE LAO SEN DNK LVA JPN POL JPN NPL PHL SLV JPN COL USA USA CAN VEN FRA COL UKR MYS URY LSO NOR CHE ROM GRC MYS EST BFA JPN EST CHE PER HRV SVN JPN POL GHA SWZ DEU PAK AZE MEX GBR URY TZA CAN GBR SLV FRA BEL HND SWE BLZ ARM ARG PER URY BLZ BGR AUT FRA JPN NZL USA ITA ZMB LAO MAR IND USA JOR POL USA JPN ESP SRB ECU NZL AZE FRA AUT MEX GBR DNK FRA CAN VEN LVA ECU VEN PAN NPL SYR JPN KHM GEO SRB IDN GEO GEO NOR NOR PER FRA IND AZE BRA KEN MAR PAN SRB UKR JPNPER PHL AZE LTU NIC VNM AUS GRC BFA BEN URY JPN GBR BOL SYR SVN SYR IND FRA KHM SWE PHL POL USA GRC NOR BEL SWE NGA AUS CHE AZE SVN MDG ESP HND MYS SRB DNK ROM CHE FRA CZE NZL LKA USA NZL SYR BFA EST ZAF VEN USA CHE MAR JOR SEN ECU JPN BGR CZE RUS AZE GHA NLD ISR ECU LVA DNK DEU GTM SLV RUS BRA POL CHN LVA HRV SVK MWI RUS ESP CAN SLV RUS GRC DEU SEN JPN JPN TUR JPN SVK USA SRB PER BGR USA HRV IDN DEU ARM ECU NLD SWE MAR HND CHN CHL IND JPN HND SWZ LAO ESP SYR JPN GEO TZA ESP GBR UGA FRA NOR PAN USA FRA GTM HRV VNM NOR FIN GRC NZL CZE MNG URY JOR DNK PRY LVA NIC BEN ZAR DOM GBR SVN PRT POL MAR KHM JPN CMR EST AUT SLV USA FRA GTM HRV ARM BEN MDG JOR UKR USA NLD FRA JPN SWE SWE PER IND MEX MAR BLZ NOR BGR ESP CHE LKA DEU JPN ZWE HND CHL USA IND LSO NOR NOR LVA MNG KHM ARM NZL USA VNM USA FIN BOL ISR LBN NIC NIC NER LTU JPN EST ESP SVN DNK MNG IDN SVK JPN RUS MDA NPL CHE LKA LSO NLD LAO RUS URY LAO FRA HRV AZE CZE CHE RUS ECU CMR CHN MWI ARE MAR HRV IND ROM SEN CZE MKD KHM FRA SLV PRY FRA MOZ HRV BEL AUS UKR KHM IDN TZA IDN ZAR LBN PRT LVA GEO UKR GEO MEX NOR LVA ARM NOR ESP USA SVK RUS CHE CHE KAZ ZMB PER NZL HRV BEN MDA LSO MEX GBR DOM AUS TUR RUS ITA CMR PERMYS JOR LVA GRC MAR LKA CHE JPN GBR ZAF HND URY ZAF MAR JPN MAR NOR NLD CHL HRV UKR CAN JOR LAO BRA CMR UKR ZMB SLV SVN ZWE CHE MEX ZMB HRV POL PHL KGZ MOZ USA VEN ZWE UZB JPN DNK EST CAN RUS BFA USA BIH SLV BEN VEN SYR PRY PRT NZL URY KHM DNK PER PHL ARE ESP LAO NOR ISR MYS IND ZWE POL USA SYR USA PHL CZE ROM LVA UKR GRC LTU AUT BIH COL COL JPN SRB IND NLD PAK GBR LKA RUS RUS MDG SLV JOR MKD SYR TZA LVA JPN HUN SEN POL CHN VEN HRV ITA KAZ RUS THA AUT IND VEN JPN BRA MOZ ARE ARG NPL CZE EST CMR IND BGR MNG IRL LVA SVN ECU JPN MAR USA MDA USA CHN LBN BEL LKA CHE HUN MYS ESP BFA LVA EST PHL BRA GRC ROM IND CAN IDN MEX AUS PHL CHN HND USA TZA ITA NOR NAM LSO UKR PRT RUS IDN UZB TUR ZMB DNK NZL KEN HUN MDG URY KHM ARM ARG NLD SRB DNK RUS FIN ARG USA LBN IDN BRA RUS CHE AUT CHE IND SVN COL MEX SWZ MOZ USA LSO NIC LAO ARG NIC MNG NIC LTU CAN SVK EGY CHN UKR ITA POL BEL DEU COL EGY ECU SEN USA NZL BEN HUN UKR RUS PRY CHE MOZ MNG CHN BEL RUS VNM CHL BOL GRC MOZ BOL DEU GHA SLV ZWE CHN CHN JPNDEU UKR JPN DEU SRB NER IDN PRY RUS HND LAO VEN MEX EST DEU HND BEL TZA ECU GTM VEN USA CHN CAN NAM RUS NIC BFA IND CHN LVA UKR URY SRB DOM ECU TZA CMR PER PRY COL LSO ITA IDN BRA ESP DOM HRV ROM RUS BRA KHM KGZ LVA LAO ITA PRY ITA NIC GEO ITA EST COL GAB CHL GTM KEN IDN MNG HRV ZMB RUS HND MEX USA BEN MYS CHN VEN IND ZWE SRB IND RUS UZB IND BRA RUS LVA NER PRY ECU RUS MEX VEN TUR NAM CHN TZA IDNNGA ECU TZA CHN VNM HND CHN MEX COL MEX RUS RUS KAZ MEX PAN MYS PER SRB SVK CHL MEX RUS LVA ZAF SRB VEN UKR PER TZA MNG UGA MKD COL RUS PAN KEN UKR URY COL PAN BLZ NAM NER MKD ARG ARG PAN NGA PHL BOL BRA IDN COL TUR LTU RUS IND ZAF MNG RUS KGZ BEN CHN MOZ ECU THA BRA BRA LVA COL COL KGZ RUS CHN ARG HND ARE PER LVA IND TUR RUS RUS MNG RUS MEX CHL NAM BRALVA MYS GHA COL GHA PER NAM PER ARG MEX ARG RUS RUS RUS BRA ZAR COL CHN ZAR RUS IDN IDN PER IDN THA ZAR ARG INDARG RUS KEN Ln(Regional GDP per capita -1 0 1 COL -2 RUS -4 -2 0 Years of Education 2 4 coef = .28573483, (robust) se = .01343762, t = 21.26 35 Regional GDP per capita, Infrastructure and Culture (T 6:B) (1) (2) (3) (4) (5) (6) (7) Years of Education in the Region 0.2758 (0.0172) a 0.2713 (0.0187) a 0.2627 (0.0197) a 0.3021 (0.0286) a 0.2986 (0.0305) a 0.2644 (0.0181) a 0.2719 (0.0175) Ln(Population in the Region) 0.0126 (0.0168) 0.0101 (0.0168) 0.0023 (0.0184) 0.0091 (0.0187) 0.0138 (0.0193) 0.0170 (0.0173) 0.0115 (0.0157) Temperature ‐0.0140 (0.0084) c ‐0.0142 (0.0085) c ‐0.0166 (0.0085) c ‐0.0015 (0.0060) ‐0.0038 (0.0056) ‐0.0154 (0.0090) c ‐0.0140 (0.0080) Inverse Distance to Coast 0.4971 (0.1441) a 0.4872 (0.1427) a 0.4626 (0.1438) a 0.4750 (0.2590) c 0.4093 (0.2713) 0.4351 (0.1358) a 0.5162 (0.1450) Ln(Oil) 0.1752 (0.0578) a 0.1793 (0.0584) a 0.1864 (0.0582) a 0.0534 (0.0669) 0.0354 (0.0572) 0.1922 (0.0613) a 0.1772 (0.0591) Ln(Power line density) c a a 0.0199 (0.0198) c Ln(Travel time) ‐0.0456 (0.0231) Trust in others ‐0.0611 (0.0868) Civic values ‐0.0040 (0.0231) b Ln(Number of ethnic groups) ‐0.0504 (0.0249) Probability of same language 0.1723 (0.2067) a Constant a a a a a a a 6.3853 (0.1947) 6.4350 (0.1928) 6.9287 (0.3351) 6.0940 (0.2863) 6.0196 (0.3245) 6.5272 (0.1679) 6.2956 (0.2337) 1,469 104 1,469 104 1,469 104 699 65 635 70 1,468 104 1,445 103 2 42% 42% 43% 49% 48% 42% 42% 2 60% 60% 60% 50% 50% 60% 60% R Overall 2 62% 62% 61% 50% 47% 62% 62% 2 42% 42% 42% 49% 48% 42% 42% 2 10% 13% 16% 11% 11% 14% 11% 2 60% 60% 60% 51% 50% 60% 59% 2 41% Yes 51% Yes 47% Yes 7% Yes 16% Yes 47% Yes 49% Yes Observations Number of countries R Within R Between Within R without institution Within R without education Between R without institution Between R without education Fixed Effects 36 National GDP Per Capita and Standard Measures of Institutions (Table 7) (1) (2) (3) (4) (5) (6) Years of Education 0.2567 (0.0308) a 0.2200 (0.0433) a 0.2069 (0.0438) a 0.1626 (0.0480) a 0.2448 (0.0363) a 0.1850 (0.0351) a Ln(Population) 0.0683 (0.0410) c 0.0354 (0.0487) 0.0559 (0.0470) ‐0.0356 (0.0482) 0.0732 (0.0533) 0.0504 (0.0370) Temperature ‐0.0189 (0.0106) c ‐0.0179 (0.0118) ‐0.0135 (0.0109) 0.0024 (0.0106) ‐0.0181 (0.0126) ‐0.0100 (0.0104) Inverse Distance to Coast 2.9646 (0.5742) a 2.3421 (0.7800) a 2.3853 (0.6050) a 2.3974 (0.5941) a 2.9603 (0.6208) a 1.9906 (0.5463) Ln(Oil) 0.9503 (0.1373) a 0.7877 (0.4564) c 1.0708 (0.1729) a 0.8965 (0.1100) a 1.0720 (0.4094) b 0.9928 (0.2013) a a a Autocracy ‐0.5994 (0.2184) b Executive Constraints 0.1633 (0.0696) a Expropriation Risk 0.3952 (0.0986) c Proportional Representation 0.3972 (0.2328) a Corruption 0.2130 (0.0479) a Constant 3.5771 (0.9416) Observations a 5.3781 (1.3861) a 3.7896 (1.0059) b 3.1830 (1.3630) a 3.2958 (1.0503) a 4.1183 (0.8118) 103 80 101 81 97 103 63% 67% 65% 70% 63% 69% 2 63% 64% 63% 63% 62% 63% 2 50% 60% 59% 67% 52% 63% 2 Adjusted R Adj. R without institution Adj. R without education 37 Firm Level Productivity and Regional Education (Table 8) Dependent Variable: Logarithm of Sales per employee Logarithm of Wages per employee (2) (3) (4) (5) (6) (7) (8) (1) Years of Education in the Region 0.0655 (0.0202) a 0.0639 (0.0185) a 0.0954 (0.0280) a 0.0950 (0.0279) a 0.0580 (0.0162) a 0.0577 (0.0159) a 0.0840 (0.0233) a 0.0843 (0.0234) Ln(Population in the Region) 0.0920 (0.0321) a 0.0803 (0.0297) a 0.1437 (0.0501) a 0.1409 (0.0504) a 0.0682 (0.0425) 0.0622 (0.0418) 0.0135 (0.0352) 0.0159 (0.0354) Years of Education of managers 0.0534 (0.0047) a 0.0352 (0.0048) a 0.0257 (0.0062) a 0.0243 (0.0057) a 0.0315 (0.0038) a 0.0215 (0.0036) a 0.0118 (0.0044) a 0.0131 (0.0042) . . 0.1497 (0.0154) a . . 0.0113 (0.0176) . . 0.0827 (0.0150) a . . ‐0.0095 (0.0108) a 0.0384 (0.0056) 0.0378 (0.0058) 0.0195 (0.0036) a 0.0151 (0.0036) a 0.0146 (0.0033) 0.0152 (0.0033) a . . 0.2248 (0.0173) a 0.2232 (0.0172) a . . . . a . . . . 0.1787 (0.0086) a 0.1794 (0.0089) a a Ln(Employees) Years of Education of workers 0.0349 (0.0053) a 0.0279 (0.0054) Ln(Expenditure on energy/employee) 0.3577 (0.0185) a 0.3554 (0.0177) . . . . . . 0.3258 (0.0132) a 0.3250 (0.0136) a Ln(Property, Plant, Equipment / employees) a Constant Observations Number of Countries 2 Within R 2 Between R 2 Overall R a a a a a a a a a a a 5.1202 (0.3706) 5.0055 (0.3373) 4.8529 (1.1885) 4.8850 (1.1887) 5.1007 (0.5225) 5.0322 (0.5199) 6.6732 (0.7223) 6.6461 (0.7248) 13,248 29 13,248 29 19,305 22 19,305 22 12,782 27 12,782 27 19,209 22 19,209 22 30% 32% 31% 31% 20% 21% 13% 38 13% 90% 90% 59% 59% 88% 87% 57% 57% 74% 74% 54% 54% 69% 68% 44% 44% Interpretation of the coefficients (1) Columns (1)-(4) of Table 8 coefficient on SW ≈0.035 α*μW ≈ 0.35 Standard assumption: α=0.6 μW= 5.8%. Alternative assumption: α=0.55 μW= 6.4%. Table 8 also implies an overall capital share roughly equal to 0.35 δ + β =0.35. Entrepreneurial rents: (1–α–β–δ) = (1 – 0.55 – 0.35) = 0.1. Since the estimated coefficient on SE = (1– α–β–δ)*μE = 0.035 μE = 35%. Entrepreneurial inputs are a neglected but critical channel through which schooling and human capital affect productivity . The coefficient on population in Table 8 is roughly equal to 0.09 γ≈ 0.09. Consistent with the regional regressions in Table 4 the coefficient on population is roughly equal to 0.01 γ – β/(1 – δ)= 0.01. Given that γ = 0.09 and β + δ = 0.35, this condition yields β ≈ 0.05. β = 0.05 and γ = 0.09 are roughly consistent with our results. 39 Interpretation of the coefficients (2) The coefficient on regional schooling in Table 8 roughly equal to 0.065 γ*ψ*μ≈0.065. γ = 0.09 that ψ* μ=0.72. The coefficient on schooling in the regional regressions equals (1+ γψ – β/(1-δ)) μ. Table 4 (1+ γψ – β /(1-δ)) μ ≈0.27. Given γ = 0.09 and β /(1-δ) = 0.08, we are left with 2 equations with 2 unknowns: 1. (1+ 0.09ψ – 0.08) μ ≈ 0.27 ;and 2. ψ*μ ≈ 0.72. μ ≈ 0.22 and ψ ≈3.27. Estimates imply a large effect of schooling on productivity via social interactions. The above parameter values and at a reasonable share of housing consumption of θ = 0.4 the spatial equilibrium is stable, since (β – ψγ)(1 – θ) + θ(1 – δ) = – (0.21)(0.6) + (0.4)(0.73) > 0. 40 Firm Level Productivity and Regional Education (Table 8A) Dependent Variable: Logarithm of Sales per employee Logarithm of Wages per employee (2) (3) (4) (5) (6) (7) (8) (1) Temperature 0.0102 (0.0129) 0.0123 (0.0118) 0.0171 (0.0087) c 0.0171 (0.0087) c ‐0.0117 (0.0115) ‐0.0104 (0.0110) 0.0149 (0.0051) a 0.0149 (0.0051) Inverse Distance to Coast 0.2755 (0.3492) 0.1574 (0.3450) 0.8401 (0.2565) a 0.8380 (0.2565) a ‐0.1088 (0.3266) ‐0.1830 (0.3294) 0.0437 (0.2084) 0.0530 (0.2095) Ln(Oil) ‐0.8864 (0.2793) a ‐0.7033 (0.3070) b 0.2600 (0.5745) 0.2639 (0.5723) ‐0.6647 (0.3179) b ‐0.5661 (0.3380) c 0.1110 (0.3702) 0.0945 (0.3681) Ln(Power line density) ‐0.0246 (0.0317) ‐0.0266 (0.0313) 0.1157 (0.0430) a 0.1155 (0.0429) a ‐0.0125 (0.0333) ‐0.0159 (0.0334) 0.0285 (0.0412) 0.0293 (0.0412) Access to finance ‐0.0747 (0.0772) ‐0.0727 (0.0715) ‐0.0635 (0.0989) ‐0.0633 (0.0990) ‐0.1051 (0.0877) ‐0.1059 (0.0839) ‐0.1238 (0.0778) ‐0.1248 (0.0783) Years of Education in the Region 0.0685 (0.0262) b 0.0721 (0.0247) a ‐0.0203 (0.0321) ‐0.0202 (0.0321) 0.0666 (0.0267) b 0.0708 (0.0264) a 0.0602 (0.0298) b 0.0599 (0.0298) Ln(Population in the Region) 0.1046 (0.0344) a 0.0906 (0.0316) a 0.0454 (0.0381) 0.0448 (0.0386) 0.0758 (0.0428) c 0.0692 (0.0422) ‐0.0353 (0.0289) ‐0.0327 (0.0289) Years of Education of managers 0.0531 (0.0047) a 0.0351 (0.0047) a 0.0274 (0.0061) a 0.0270 (0.0054) a 0.0315 (0.0037) a 0.0216 (0.0036) a 0.0129 (0.0043) a 0.0145 (0.0040) . . 0.1486 (0.0153) a . . 0.0030 (0.0175) . . 0.0821 (0.0150) a . . ‐0.0129 (0.0109) a 0.0410 (0.0059) 0.0408 (0.0061) 0.0193 (0.0037) a 0.0151 (0.0037) a 0.0158 (0.0035) 0.0165 (0.0034) a . . 0.2250 (0.0173) a 0.2235 (0.0172) a . . . . a . . . . 0.1759 (0.0084) a 0.1768 (0.0088) a a Ln(Employees) Years of Education of workers 0.0344 (0.0053) a 0.0276 (0.0054) Ln(Expenditure on energy/employee) 0.3574 (0.0184) a 0.3552 (0.0176) . . . . . . 0.3193 (0.0123) a 0.3190 (0.0127) a Ln(Property, Plant, Equipment / employees) a Constant Observations Number of Countries 2 Within R 2 Between R 2 Overall R a a a a a a a b a a a a 4.9971 (0.5219) 5.0412 (0.4805) 5.7485 (1.0095) 5.7554 (1.0110) 6.1865 (0.7436) 6.1040 (0.7271) 7.2040 (0.6329) 7.1742 (0.6343) 13,248 26 13,248 26 19,305 19 19,305 19 12,782 24 12,782 24 19,209 19 19,209 19 30% 32% 28% 29% 19% 20% 16% 16% 91% 91% 48% 47% 81% 79% 47% 46% 69% 67% 45% 42% 61% 58% 44% 42% 41 Firm Size and Regional Employment Productive regions employ more human capital (i.e., HG > HB) and such human capital is of better quality, namely EG(h) > EB(h). h hm h The skill distribution in the unproductive region is truncated at hm. The skill distribution in the productive region jumps to the red line for h > hm. Proposition 1: If p is sufficiently large, there are 2 thresholds z1 and z2 such that for AG / 1- AB ( - )(1- ) (1- ) ( z1, z2 ) 42 productive regions have larger: i) average firm, ii) share of workers in the population. Regional GDP, Education, Size of Establishments, and Labor participation (Table 9) Dependent Variable: Ln(Establishments/Population) Ln(Employees/Establishments) Ln(Employees/Population) Ln(Employees Big Firms/Employees) Years of Education in the Region 0.2967 (0.0314) a 0.1233 (0.0227) a 0.3418 (0.0273) a 0.2445 (0.0374) Constant ‐5.8626 (0.2571) a 0.8855 (0.2093) a ‐4.3992 (0.2119) a ‐3.6568 (0.4299) 951 92% Yes 983 83% Yes 988 94% Yes 501 95% Yes Observations 2 Adjusted R Country Fixed Effects a a 43 PHL SEN Firms/Pop -2 0 2 BFABEN CHN PHL TZACHN DNK ITABFA RUS ITAKAZ CHN ITA PHLDEU ITA MOZ UKR RUS ITA BEN CMR JOR MDG CHN UGA LVA TUR MOZ HRV SEN KHM RUS ITA BRA MNG RUS CHN ITA BRA ITA JOR GEO RUS ESP CMR MOZ TZA HRV PER JOR GRC ITA RUS KHM BRA SYR KHM BRA PRY LAO LAO DNK GHA SYR TZA EST SYR LAO KHM RUS CHN RUS HRV ROM IND BRA TZA TZA LKA PER CHE CHN LVA LTU MNG BFA NPL PHL DNK DNK GEO USA PER THA IND BEL ESP KHM USA MNG POL KHM IND CAN BEN HRV LVA MDG KHM ESP GHA IND KHM BRA MYS MKD BRA RUS ESP LAO LVA MYS MNG CHN GHA CMR LAO RUS ESP USA HUN LVA IND POL HRV AUT MYS BEN KHM PER LVA UKR MNG SLV IND POL RUS RUS UKR KHM LVA POL USA TUR CMR MYS MNG ROM BRA SLV RUS UKR MYS SWE ITA EST RUS USA PAN FIN NPL LVA BRA CAN LTU GRC GHA LVA VNM FRA ESP NLD TZA USA USA RUS ROM PAN VNM IND BRA IND KHM MDG HRV MOZ DEU MOZ BRA SYR RUS CAN IND TZA THA ARE LVA EST PHL BFA LVA JPN RUS UKR CHE RUS SYR NOR SLV FRA UKR PAN JOR TUR POL LTU BEL PER PAN PER ESP RUS MYS NLD PHL CZE HRV KHM SLV IND EST POL SYR PER NOR GRC JPN ESP NOR CZE USA ARE USA EST VNM ITA IND UKR FRA CMR LVA NZL SYR THA VNM LAO BGR RUS IND TUR DNK ROM JPN NPL JPN AUT FRA USA POL MNG CHE IND MKD LAO NZL JPN PER IND CZE JPN CHN JPN NLD JPN UKR RUS POL FRA GEO RUS USA LAO BEL TUR HUN CZE SYR PER LAO LAO MKD JPN KAZ MNG EST EST ARE AUT JPN RUS HUN ESP PHL GEO NOR TZA AUT CZE BGR MNG MNG POL MKD FRA SLV CMR MYS USA JPN CHE NLD LVA JPN FRA HRV RUS USA PER USA RUS CHE BEL PER DEU BEL IRL NZL JPN MYS FRA SWE SLV LVA CHE LKA LTU UKR LVA JPN SLV RUS TUR IND USA VNM LKA BGR PER BEL TZA ARE NZL NOR ESP POL FRA JPN BRA USA USA NZL RUS SWE IND FRA TZA SWE DNK AUT CHE JPN JPN NZL JOR ESP NLD MKD PER JPN HRV IND PER RUS NLD JPN CAN NZL TZA CAN ESP HRV UGA SLV USA RUS CHE JPN CHE NZL GRC USA LKA RUS HUN CAN NOR JPN NZL RUS MKD FRA BGR RUS RUS MNG LKA EST USA NOR IND NOR JPN CHE JPN TUR IND GRC SYR GRC DNK NOR LVA NZL JPN IND NOR BEN DEU USA USA CHN CHE CAN FIN NLD PER IRL ARE NLD POL CAN IND SWE HUN PAN BRA DNK NOR GRC USA FIN RUS AUT BGR MNG JPN PHL LVA LVA UKR BEL AUT EST JOR JPN NOR SWE FRA GEO USA SLV LTU HRV AUT MNG RUS PHL DEU LTU NOR KHM EST FRA NLD VNM CHE RUS RUS ARE PER LAO BRA LAO BEL ESP USA SLV POL USA GEO UKR USA GEO UKR LTU JPN CAN CHE HRV SWE NLD JPN DNK PAN PAN GHA LAO GRC CMR UKR MNG GRC BRA CHE CAN GEO IND DNK FIN CHN NOR GHA GHA RUS NZL IND LVA BEL SLV JOR LKA POL EST CHE BGR UKR KAZ RUS GEO JOR GRC FRA PAN IND GRC HRV FRA MNG MYS VNM EST BRA BEL TZA UKR PER USA UGA LVA DEU EST LTU ROM CHE NLD PER MNG CHN PER BRA HUN FRA DEU DEU HUN DNK UKR CHN TZA RUS CHN POL RUS TUR LVA SLV LAO UKR UKR MNG RUS NPL HRV UKR DEU LAO GRC PER IND LTU CHN SLV ROM RUS BRA ARE RUS ESP BFA MKD RUS CHN GHA JPN IND BRA UKR PER LVA CHN MOZ JPN BRA BEL LVA GEO MOZ ROM RUS SYR MYS JOR IND TUR HRV RUS LVA MYS BFA RUS USA PHL BEN THA CZE JPN PER GHA BRA LKA MNG LAO HRV MNG UKR BEN CHN CZE KHM RUS TUR CHN SYR RUS ROM THA AUT HRV LVA GEO PER CHN DEU PER IND CHN TZA PAN RUS BRA CMR MNG JOR KAZ MDG CAN GHA BEN HRV MDG BRA LVA RUS CHN CHN KAZ VNM TZA TZA SYR TZA CHN DNKMYS LAO SYR PHL KHM BEN RUS ITA USA RUS EST PRY NPL DNK SYR PHL BRA LVA MOZ USA IND TZA USA RUS TZA BRA JOR POL CHN BFA MNG BFA ITA USA BEN BRA DNK PHL USA MDG TUR BFA BEN IND POL JOR IND BEN LVA RUS UGA MYS CHN PHL HRV CMR DNK TZA RUS LAO PHL CMR BFA CHN BFA SEN ESP PHL ESP ITA MOZ PHL ITA IND -4 -2 0 2 Years of Education 4 0 2 Years of Education 4 coef = .34175848, (robust) se = .02725977, t = 12.54 IND %Employment Large Firms -2 -1 0 1 2 4 -4 Employees/Pop -2 0 2 PHL SEN DNK PHL SEN ITA TZA MOZ CMR CMR ITA CMRGEO ITA THABEN UKR SRB ITA ITA UGA DEU ARG TUR CHN KAZ ITA MYS MAR CHN LVA PAN PHLCMR SLV ESP SLV MDA JOR ESP RUS MYS MYS IND LKA MEX ESP BRA ITA ITA DNK THA MOZ CHN ITA NPL MOZ ARG CHN DNK NPL GHA GRC TZA LTU USA IND PAN PER MNG ESP ESP EST MEX JOR JOR BEN CMR MYS GEO BEN TZA CHE BRA MEX TUR TZA RUS MEX LAO LAO BEL MEX PER LVA IND BRA ARG UKR GHA MYS CHN PER NLD ESP JPN SLV HUN UKR MAR CHN GRC MEX MEX LAO MAR SWE AUT AUT BEL HRV MEX GHA SYR VNM IND POL CMR PAK MKD VNM LVA ARE IND HRV MNG ESP ROM CHE BEL ARG BRA LVA GRC ESP LAO ITA IND SLV MEX LTU PER BRA HUN LVA FRA NOR LVA MNG BRA LAO USA DNK MOZ HRV DEU LKA UKR RUS FRA CAN LAO VNM ESP PAK NLD MEX MAR MEX POL SYR PAN JOR TZA GRC ROM ESP FIN TUR ARG BRA LTU MNG BEL RUS GEO ARE CHN UKR PHL FRA LVA RUS LVA CHN UKR CHN RUS LVA LAO IND FRA POL TZA FRA LVA HRV MNG TUR CZE SYR MEX SLV CHE PAN HRV MKD NZL IND GRC FRA MNG ESP CHN UKR USA POL MEX BRA CHE RUS USA ROM PER IND NLD LVA EST AUT POL SWE UKR RUS UKR BGR ARG FRA USA POL ARG EST IND DEU PHL MYS GRC CZE HRV USA JPN CAN GEO POL SYR LAO RUS NZL PER MKD MYS KAZ MEX EST BGR ARG DEU UKR JPN LVA ARG ROM TZA JPN TUR RUS GHA DNK HRV PER JPN RUS HRV RUS BEN NLD GHA BEN VNM MNG CZE BRA USA LVA TZA PER TZA RUS RUS TZA RUS LVA ARG RUS RUS JPN USA CZE EST USA NPL NOR MNG BRA RUS MKD MKD IND MEX CZE NZL FRA HRV IND POL JPN NLD LVA CHE SYR PER IND RUS GEO NZL IND USA PER NZL FRA RUS ITA DEU MDA FRA CHE FRA CHE DNK JPN RUS MAR JPN NLD SWE ARG MNG IND IND ARE SYR UKR ESP PER IRL JPN RUS EST HRV SYR JPN EST LVA POL USA HRV NOR USA LTU TZA AUT ARE NOR LKA USA CHE TUR USA NOR CAN MEX JPN BGR BEL IND PER SYR IND PER NOR MAR CAN EST USA CAN JPN JOR USA BIH JPN HRV FIN CAN JPN LAO PAK POL NZL JPN SWE GRC RUS USA USA BRA LVA BEN NZL USA RUS BGR SLV RUS NOR RUS JPN NZL RUS IND USA RUS PAN RUS BRA CAN AUT JPN IRL MYS IND BEL POL RUS HRV CHN JPN MEX MNG RUS NZL USA JPN MNG CHN IND CHE NOR JPN LVA CZE CHE AUT EST VNM ARG NOR POL PER PER MKD JPN BRA HRV NOR JPN NOR JPN NOR UKR MNG LKA LTU NZL UKR NLD UKR CAN FIN CHN RUS NOR AUT JPN FRA PHL FRA MAR LAO HRV MNG EST CHE MNG ROM UGA MNG GRC SYR MAR ARG HUN CHE CHN CHN GHA NLD LAO HUN PER LAO HRV BRA UGA HUN CZE JPN MEX BGR EST KAZ EST SLV BRA RUS TZA BEL UKR NZL USA CHN ARE PHL ROM LKA FRA LVA LTU BRA MAR MOZ TUR JPN LTU BRA LVA CHN GEO CHE CHE SWE CHN ARG JOR LAO NLD CAN USA MNG BGR LVA FIN UKR TZA BEL MEX IND SWE JPN GRC PER MYS LAO BRA HUN ARE SYR IND HRV MAR HRV NZL LVA DEU CHE DEU PER VNM DEU NLD PER BRA UKR ARG BEL PHL GRC CHN CHN HUN DNK IND GEO VNM EST RUS MEX CHN KAZ SLV MAR LAO GHA PER BRA BRA GEO LKA PHL CHN RUS NLD JPN JOR PER LAO MNG UKR ESP MAR LTU CHN UKR UKR MEX NLD ROM PAN RUS LVA LAO PAN ARG AUT MKD IND POL DNK ARG BEN ARE LVA BEL PAN RUS JOR TUR DNK JOR GHA SYR LVA CHN SLV MEX USA CHN RUS PER MEX MEX ESP GRC SLV CHE RUS DEU SYR MNG LTU MDA ROM SLV KAZ ARG RUS MEX EST MEX SYR MEX IND IND MNG LVA UKR BEN PER SWE PER ARG BRA UKR GHA MEX TUR MAR ESP UKR CHN KAZ DNK CHN ARG TZA BEN SLV JOR FRA CZE BRA LVA NPL AUT TUR SLV MYS USA USA TZA MKD GRC BEN UKR DNK BEN TZA GEO USA CMR CHN MDA POL LVA GEO BEN MOZ USA USA JOR ARG BEL GRC THA GHA LKA MYS PAK VNM TZA MOZ DNK ESP ITA TZA MYS FRA CMR BRA MAR GEO MEX IND MYS PHL POL MOZ PHL ARG RUS IND MOZ MEX MEX THA LVA TUR ITA DEU THA DNK NPL UGA FRA TZA MYS RUS LAO PAN PHL PHL DNK IND PHL HRV SRB SEN PHL ITA CMR ITA ESP ESP PHL SEN ITA CMRITA -2 0 2 Years of Education IND 4 coef = .12334688, (robust) se = .02273828, t = 5.42 PHL -2 CMRTHA DEU JOR SEN THA DEU PAN SLV MYS PER CMR LAO GEO MYS MEX PHL MOZ MEX LKA CMR MEX PAN MOZ CMR MAR MEX SLV IND RUS POL ARG PER ARG PHL POL BRA MYS GHA MEX IND RUS ARE UKR BEL NPL MYS MEX ARE PAN SYR RUS CHE PHL MEX POL SLV PER IND ESP BEN RUS RUS BEN PER UKR IND UKR MEX BRA PER MEX IND GEO IND RUS CAN ARG MYS RUS ARG RUS JPN PER PHL BRA DNK RUS FRA BRA DNK RUS USA HRV HRV CHN CHN ITA DNK USA DNK TUR PER PHL DNK CMR BRA SYR SYR LAO BRA HRV USA BEN HRV FRA RUS AUT CHN RUS POL MEX SYR RUS HRV GEO MAR NPL POL RUS RUS JOR POL MKD FRA JPN BGR MAR VNM PER TZA BRA BEN HRV GRC HRV HRV DNK GEO CAN UKR BEN DNK MAR ITA DNK RUS NOR BRA ITA BEL CHN CHN GHA CHE PER RUS MEX EST GRC BEN POL ESP FRA SYR NOR UKR GHA SYR MYS SWE FRA MNG RUS MNG USA EST USA NLD LVA HRV HUN JOR CHN USA PHL RUS ESP LVA RUS PAN TUR CZE CHE USA ROM FRA CHE USA POL MEX TZA JPN NOR ARG CHE BEL GRC JPN HUN VNM JPN SYR UGA ESP IND LTU VNM GRC SEN LAO IND MNG TZA IND NLD ESP LAO POL UGA SRB MYS BRA CHN KAZ ROM CZE LKA TUR USA AUT MOZ CHN MNG ROM RUS EST GEO USA MAR UKR CZE TUR CHE NZL PER USA USA FIN JPN FRA CHN LTU JPN TZA ARE GHA EST NZL BRA CHN PER GHA ARG JOR MEX MKD GRC LVA POL NZL UKR KAZ USA NLD MEX USA LVA HUN AUT POL PAK UKR NZL SWE MOZ JPN EST JPN ROM CZE NOR TZA UKR CHE NOR NLD USA KAZ CAN NZL JPN MNG ITA CHE CMR SLV KAZ SWE JOR GEO IND LTU RUS NLD ITA CAN SLV BEL NLD PAK NOR ESP NZL ESP IRL FRA LAO ESP NLD LVA UKR NOR NZL MAR NOR ESP EST LVA BGR NZL CAN RUS ESP ARG NOR LAO LVA GRC JOR TZA ESP USA MNG LVA NOR LTU ITA SLV MEX JPN FIN LTU ARG FIN LVA BIH IND ITA RUS BGR CHN POL AUT CAN USA MNG TUR LAO PAK RUS GRC ESP ITA USA MEX TZA MKD PAN ARG SWE JPN TUR LVA TZA EST LVA HUN NZL LVA LVA NLD MNG TZA PER TZA LAO BEL BEL LVA LVA BRA IRL CHN NZL MAR LAO LAO SWE LVA BRA BGR TZA UKR PAK ROM PHL UKR EST JOR BRA VNM FRA RUS IND CAN CHE BGR ESP GEO JPN NLD LTU EST TZA AUT NOR LVA EST VNM RUS JPN NPL LVA HUN AUT FRA SYR UKR ARG AUT MKD LVA LVA SYR LVA PER LVA CHN MKD BRA LAO JPN SLV JPN HUN GRC MEX LTU RUS JPN TUR ITA JPN FIN EST TZA BEL HRV MAR LTU USA MNG UGA CHE EST UGA NZL BGR SWE LVA VNM GRC UKR JPN CHN ARG JPN PER ARG IND USA IND GHA MNG VNM TUR SRB IND LAO CAN FRA IND PHL BEL ROM TZA TUR VNM IND TUR BRA LTU HRV CHN SYR CAN JPN RUS ITA EST TZA MNG GRC BEL JPN MNG RUS MKD CHE PHL FRA SYR USA ARE LAO MAR USA NLD ROM TUR CAN USA BRA IND GRC KAZ GHA ITA BRA MNG PHL BRA LAO CHN CZE IND PHL HUN PER MAR CHN DNK GEO AUT UKR DNK PHL JPN HRV IND LKA NOR UKR MAR NOR LKA HRV BRA BRA CHE LAO DNK MNG RUS IND CZE IND SYR BEL MNG CMR ARG MYS PAN MYS BEN GRC NOR ARE LKA CHN ARG RUS JPN MOZ UKR RUS GHA BEN USA PAN BRA RUS PER CAN LAO CHN GHA PER LAO IND MEX IND UKR BEL IND SLV ITA LKA ESP MAR TZA SLV NPL SLV CHE PHL USA ITA THA SLV JOR CHN RUS BRA BRA HRV HRV UKR JOR HRV UKR HRV ARG ESP GEO ARG SLV RUS MEX RUS GHA IND ARG MEX UKR MOZ MEX ESP MOZ FRA JOR POL JOR MYS ARE SLV NPL FRA PHL SYR PHL PER PER MEX ARG JOR MEX PER GEO MAR USA BRA DNK MOZ DNK MEX DNK PER PER SYR RUS HRV FRA MEX PAN MEX CHN PER MEX BEN RUS MYS RUS CMR GEO CMR RUS MEX MYS RUS THA MYS DEU RUS BEN RUS POL THA SEN POL PAN MEX DEU DEU CMR DEU DEU DEU -4 coef = .29672036, (robust) se = .03135326, t = 9.46 -4 DEU -5 -4 SEN ITA ITA DEU Employees/Firm 0 5 10 4 Years of Education and Participation in the Official Economy Figure 7 PERLAO LAO PER PER LAO PER VNM PER ITA VNM GHA LVA PER SLV LVA ITA PER SLV EST ITA PER LAO MEX PER TZA ITA VNM LVA TZA PER UGA SLV LVA PER MEX NOR TZA GHA ITA PER MEX MNG MEX PAK ARG EST MEX JPN TZA MEX MEX EST GHA NZL GEO TZA LVA ITA GEO ARG PAK MOZMNG VNM MOZ ARG NPL MEX TZA MEX LVA PHL GEO ARG GHA JPN LAO JPN NOR LTU ARG MNG MNG MEX NOR ARG TZA LVA MKD PHL JPN SLV GEO SLV LVA LTU EST THA NZL ARG NZL GEO NZL GHA PHL MNG LVA LTU NOR LKA NZL KAZ SLV NOR JPN PER KAZ MNG CAN TZA GHA LAO NZL PHL NOR CAN MEX MNG MEX JPN CAN JPN PHL EST NPL LVA THA ARG ARG LVA MOZ JPN UKR LVA UKR JPN UKR JPN LVA CAN CAN CAN JPN MEX JPN MNG NZL JPN VNM CAN MKD PHL MEX MEX TZA MNG GEO MOZ MEX NOR USA NZL MNG KAZ EST UKR CAN JPN USA JPN UKR MEX LVA USA UGA CHN THA TZA USA CHN JPN MKD JPN USA MOZ LKA USA USA UKR CHN CHN NPL USA JPN LTU EST CHN CHN CHN UKR PHL EST ITA USA LKA JPN CHN ARG CHN ARG CAN MKD UGA THA SLV CHN USA GEO USA USA USA CHN USA NOR ARG USA USA UKR CHN MKD UKR UKR LAO ARG UKR MOZ LKA GHA USA USA PHL CHN PHL CHN CHN CHN JPN JPN LVA CHN KAZ LTU MNG UKR JPN USA ARG JPN USA LTU NOR USA PHL USA MNG NOR CHN UKR UKR USA NZL CHN MNG CHN USA CHN ARG PHL UKR USA CHN UKR USA JPN NOR SLV NOR JPN JPN ITA TZA UKR PHL JPN JPN USA JPN MEX UKR LKA USA MEX NOR USA MOZ LVA JPN LKA JPN GEO MNG USA CHN UKR CHN CHN JPN JPN UKR GEO JPN JPN NOR NPL KAZ TZA MKD JPN NOR JPN ARG MNG PHL UKR MKD MNG PHL LTU LKA LTU NOR ARG USA PHL JPN ITA UKR MEX JPN PER USA ARG LVA JPN MEX TZA TZA JPN ARG LTU PER JPN MNG LAO MKD JPN ARG MEX NZL MEX LVA TZA NOR PHL JPN SLV LTU MNG LVA SLV EST PAK TZA MEX TZA PER NZL MEX SLV MEX MEX LAO GEO NOR LAO KAZ LVA ARG MOZ NPL PER SLV TZA EST LVA NZL ARG THA SLV PHL MOZ ITA PAK MNG UGA ARG MNG NOR EST ITA NZL MEX GHA GHA LVA EST PER MEX SLV TZA PER MEX PER LVA GEO GHA PER ITA VNM ITA CAN LAO TZA PER LAO LVA VNM LAO PER PER -2 -1 0 1 Years of Education 2 coef = .24454543, (robust) se = .03739797, t = 6.54 3 44 Conclusion 45 Conclusion Education is the only variable that explains a substantial amount of regional variation in income and labor productivity. Education influences regional development through education of workers, education of entrepreneurs, and substantial regional externalities. Better educated regions have larger, more productive firms, and higher labor force participation. The evidence is hard to reconcile with the standard Cobb-Douglas production function. Our Lucas-Lucas model combines allocation of talent, externalities, and migration. Central Message: 1. Private returns to worker education are modest; but 2. Private returns to entrepreneurial education and social returns to education are large. Our data suggest that education increases the supply of entrepreneurs as well as improves 46 the scope for the exchange of ideas ↔ economic development. Random Coefficients Estimation RANDOM COEFICIENTS (COUNTRY LEVEL); RANDOM EFFECTS (REGION); DEMEANED (COUNTRY LEVEL) Logarithm of Sales per employee (2) (3) (1) (4) (5) Logarithm of Wages per employee (6) (7) (8) Years of Schooling in the Region 0.0775 (0.0198) a 0.0708 (0.0188) a 0.0809 (0.0336) b 0.0813 (0.0337) b 0.0775 (0.0198) a 0.0708 (0.0188) a 0.0809 (0.0336) b 0.0813 (0.0337) Ln(Population in the Region) 0.0514 (0.0416) 0.0447 (0.0394) 0.1014 (0.0501) b 0.1028 (0.0504) b 0.0514 (0.0416) 0.0447 (0.0394) 0.1014 (0.0501) b 0.1028 (0.0504) Years of Schooling of managers 0.0609 (0.0078) a 0.0412 (0.0072) a 0.0586 (0.0102) a 0.0599 (0.0103) a 0.0609 (0.0078) a 0.0412 (0.0072) a 0.0586 (0.0102) a 0.0599 (0.0103) . . 0.1467 (0.0081) a . . ‐0.0091 (0.0056) . . 0.1467 (0.0081) a . . ‐0.0091 (0.0056) a 0.0259 (0.0103) 0.0263 (0.0104) 0.0352 (0.0072) a 0.0312 (0.0073) a 0.0259 (0.0103) 0.0263 (0.0104) a . . 0.3492 (0.0065) a 0.3492 (0.0064) a . . . . a . . . . 0.3073 (0.0048) a 0.3079 (0.0048) Ln(Employees) Years of Schooling of workers 0.0352 (0.0072) a 0.0312 (0.0073) Ln(Expenditure on energy/employee) 0.3492 (0.0065) a 0.3492 (0.0064) . . . . . . 0.3073 (0.0048) a 0.3079 (0.0048) Ln(Property, Plant, Equipment / employees) b b b b b a b a Constant 5.3025 (0.7363) a 5.2351 (0.7033) a 4.2483 (0.9891) a 4.2297 (0.9930) a 5.3025 (0.7363) a 5.2351 (0.7033) a 4.2483 (0.9891) a 4.2297 (0.9930) Observations Log Likelihood Chi Squared Prob > Chi Squared 13,248 ‐18,655 4,325 0 13,248 ‐18,493 4,788 0 19,305 ‐26,361 6,601 0 19,305 ‐26,360 6,603 0 13,248 ‐18,655 4,325 0 13,248 ‐18,493 4,788 0 19,305 ‐26,361 6,601 0 19,305 ‐26,360 6,603 0 Note: a = significant at the 1% level, b = significant at the 5% level, and c = significant at the 10% level. a 47